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Finding the Fourth Proportional to 280,128, 420,195.64 and 93,139.50

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Solution

The fourth proportional to 280,128, 420,195.64 and 93,139.50 is: 139,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,128 : 420,195.64 = 93,139.50 : x
  2. Step 2: Convert to fraction form
    280,128/420,195.64 = 93,139.50/x
  3. Step 3: Cross multiply
    280,128x = 420,195.64 × 93,139.50
  4. Step 4: Simplify right side
    280,128x = 39,136,811,811.78
  5. Step 5: Solve for x
    x = 39,136,811,811.78/280,128
  6. Step 6: Final answer
    x = 139,710.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.